Systems and methods for de-noising GNSS signals

Abstract

Certain implementations of the disclosed technology may include systems and methods for reducing noise in dual-frequency GNSS signal observation. The method can include: receiving, at a GNSS receiver, a first signal and a second signal. At least the second signal includes noise. The first signal is characterized by a first carrier frequency, and the second signal is characterized by a second carrier frequency. The method includes: down converting, sampling, cross-correlating, accumulating, determining ambiguous instantaneous phases, determining non-ambiguous instantaneous phases, producing normalized non-ambiguous instantaneous first phase samples, constructing a normalized first counter rotation phasor, generating a counter-rotated second observable, applying a low pass filter to remove noise; and outputting the filtered second observable.

The invention claimed is: 
     
       1. A method for reducing noise in dual-frequency signal observation, the method comprising:
 receiving a first signal and a second signal, wherein the first signal is characterized by a first carrier frequency, and wherein the second signal is characterized by a second carrier frequency; 
 down converting and sampling the first and second signals to produce complex first samples and complex second samples; 
 de-spreading the complex first samples and the complex second samples; 
 determining ambiguous instantaneous first phase samples and a non-ambiguous instantaneous first phase samples of de-spread complex first samples and complex second samples; 
 producing normalized non-ambiguous instantaneous first phase samples by multiplying the non-ambiguous instantaneous first phase samples by the second carrier frequency divided the first carrier frequency; 
 constructing a normalized first counter-rotation phasor by taking a complex exponential of a negated version of the normalized non-ambiguous instantaneous first phase samples; 
 generating a counter-rotated second observable by multiplying the complex second samples by the normalized first counter-rotation phasor; and 
 applying a low pass filter to the counter-rotated second observable to remove noise to produce a filtered second observable. 
 
     
     
       2. The method of  claim 1 , wherein the de-spreading comprises cross-correlating and accumulating the complex first samples and the complex second samples. 
     
     
       3. The method of  claim 1 , further comprising outputting the filtered second observable. 
     
     
       4. The method of  claim 1 , wherein the de-spreading comprises accumulating over an interval selected from a range of 1 ms to 100 ms. 
     
     
       5. The method of  claim 1 , wherein the first carrier frequency is 1.227 GHz and wherein the second carrier frequency is 1.57 GHz. 
     
     
       6. The method of  claim 1 , wherein the first carrier frequency is 1.57 GHz and wherein the second carrier frequency is 1.227 GHz. 
     
     
       7. The method of  claim 1 , wherein the ambiguous instantaneous phase of one or more of the complex first samples and complex second samples are 2π ambiguous. 
     
     
       8. The method of  claim 1 , wherein the first signal includes more noise than the second signal. 
     
     
       9. The method of  claim 1 , wherein the second signal includes more noise than the first signal. 
     
     
       10. The method of  claim 1 , wherein the first signal and a second signal are in coherence. 
     
     
       11. A system comprising:
 an antenna; 
 an RF to baseband converter; 
 one or more analog to digital (A/D) converters; 
 a digital signal processing (DSP) processor; and 
 memory in communication with the DSP processor; 
 wherein the system is configured to:
 receive, at the antenna, a first signal and a second signal, wherein the first signal is characterized by a first carrier frequency, and wherein the second signal is characterized by a second carrier frequency; 
 down convert, with the RF to baseband converter, the first and second signals to respective first baseband and second baseband signals; 
 sample, with the one or more A/D converters, the first baseband and second baseband signals to produce complex first samples and complex second samples; 
 de-spread the complex first samples and the complex second samples determine, with the DSP processor, ambiguous instantaneous first phase samples and non-ambiguous instantaneous first phase samples of the de-spread complex first samples and the de-spread complex second samples; 
 produce normalized non-ambiguous instantaneous first phase samples by multiplying the non-ambiguous instantaneous first phase samples of the result by the second carrier frequency divided the first carrier frequency; 
 construct a normalized first counter-rotation phasor by taking a complex exponential of a negated version of the normalized non-ambiguous instantaneous first phase samples; 
 generate a counter-rotated second observable by multiplying the complex second samples by the normalized first counter-rotation phasor; 
 apply a low pass filter to the counter-rotated second observable to remove noise to produce a filtered second observable; and 
 output the filtered second observable. 
 
 
     
     
       12. The system of  claim 11 , further comprising a front end, wherein the front end is configured to filter at least a portion of the received first and second signals. 
     
     
       13. The system of  claim 11 , wherein the DSP processor is configured to de-spread the complex first samples and the complex second samples by cross-correlating and accumulating the complex first samples and the complex second samples. 
     
     
       14. The system of  claim 11 , wherein the DSP processor is configured to de-spread the first and second complex samples by accumulating over an interval selected from a range between about 1 ms and about 100 ms. 
     
     
       15. The system of  claim 11 , wherein the first carrier frequency is 1.227 GHz and wherein the second carrier frequency is 1.57 GHz. 
     
     
       16. The system of  claim 11 , wherein the first carrier frequency is 1.57 GHz and wherein the second carrier frequency is 1.227 GHz. 
     
     
       17. The system of  claim 11 , wherein the second signal includes more noise than the first signal. 
     
     
       18. The system of  claim 11 , wherein the first signal includes more noise than the second signal. 
     
     
       19. The system of  claim 11 , wherein the DSP processor is configured to output the filtered second observable. 
     
     
       20. A non-transitory computer readable storage medium storing instructions for use with one or more processors in communication with a memory, and wherein the instructions are configured to cause the one or more processors to perform a method comprising:
 receiving a first signal and a second signal, wherein the first signal is characterized by a first carrier frequency, and wherein the second signal is characterized by a second carrier frequency;
 down converting and sampling the first and second signals to produce complex first samples and complex second samples; 
 de-spreading the complex first samples and the complex second samples; 
 determining ambiguous instantaneous first phase samples and a non-ambiguous instantaneous first phase samples of de-spread complex first samples and complex second samples; 
 producing normalized non-ambiguous instantaneous first phase samples by multiplying the non-ambiguous instantaneous first phase samples by the second carrier frequency divided the first carrier frequency; 
 constructing a normalized first counter-rotation phasor by taking a complex exponential of a negated version of the normalized non-ambiguous instantaneous first phase samples; 
 generating a counter-rotated second observable by multiplying the complex second samples by the normalized first counter-rotation phasor; and 
 applying a low pass filter to the counter-rotated second observable to remove noise to produce a filtered second observable.